|A Generalized Input-output-based Digital Sliding-mode Control for Piezoelectric Actuators with Non-minimum Phase Property
Haifeng Ma, Yangmin Li*, and Zhenhua Xiong
International Journal of Control, Automation, and Systems, vol. 17, no. 3, pp.773-782, 2019
Abstract : "In this paper, a generalized input-output-based digital sliding-mode control (GIODSMC) is developed
for piezoelectric actuators (PEA) with non-minimum phase (NMP) property. First, the instability mechanism of
the traditional input-output-based digital sliding-mode control (IODSMC) for NMP systems is analyzed. Then, a
generalized approximate input-output model is established to cancel the effect of unstable zeros in NMP systems.
The generalized model can be transformed into different forms, which represents a class of approximate models
suitable for this situation. Based on this model, a controller, called the GIODSMC, is presented. Unlike existing
works, the developed controller ensures precision motion control for PEA with NMP property. Moreover, additional
control parameters are not required to stabilize the NMP systems, and neither a hysteresis model nor a state
observer is needed for the developed method. Stability of the closed-loop system is theoretically analyzed. At last,
the presented method is tested through numerical simulations and experimental investigations on a piezoelectric
Digital sliding-mode control, motion control, non-minimum phase, piezoelectric actuator.